Critical Behavior of a Chiral Condensate with a Meron Cluster Algorithm

TL;DR

This paper introduces a new meron cluster algorithm to analyze the critical behavior of the chiral condensate in a 3+1 dimensional fermion model, confirming its universality class and improving critical temperature determination.

Contribution

A novel meron cluster algorithm is developed to study finite temperature critical behavior of the chiral condensate in a 3+1D fermion model, with enhanced accuracy in critical temperature estimation.

Findings

Critical behavior matches 3D Ising universality class.

Condensate scales as (Tc - T)^{0.314(7)} below Tc.

Critical temperature Tc is determined more precisely.

Abstract

A new meron cluster algorithm is constructed to study the finite temperature critical behavior of the chiral condensate in a $(3+1)$ dimensional model of interacting staggered fermions. Using finite size scaling analysis the infinite volume condensate is shown to be consistent with the behavior of the form $(T_c-T)^{0.314(7)}$ for temperatures less than the critical temperature and $m^{1/4.87(10)}$ at the critical temperature confirming that the critical behavior belongs to the 3-d Ising universality class within one to two sigma deviation. The new method, along with improvements in the implementation of the algorithm, allows the determination of the critical temperature $T_c$ more accurately than was possible in a previous study.